All-phononic Digital Transistor on the Basis of Gap-Soliton Dynamics in Anharmonic Oscillator Ladder

TL;DR

This paper proposes a novel all-phononic digital transistor mechanism based on gap-soliton dynamics in anharmonic oscillator ladders, enabling phonon amplification through nonlinear band-gap transmission phenomena.

Contribution

It introduces a new phononic amplification mechanism using nonlinear band-gap transmission in anharmonic oscillator systems, with potential applications in logic gates.

Findings

Amplification occurs when combined driving exceeds the band-gap transmission threshold.

Large amplitude band-gap solitons are generated, enabling phonon amplification.

The mechanism can be generalized to optical and magnonic systems.

Abstract

A conceptual mechanism of amplification of phonons by phonons on the basis of nonlinear band-gap transmission (supratransmission) phenomenon is presented. As an example a system of weakly coupled chains of anharmonic oscillators is considered. One (source) chain is driven harmonically by boundary with a frequency located in the upper band close to the band edge of the ladder system. Amplification happens when a second (gate) chain is driven by a small signal in the counter phase and with the same frequency as first chain. If the total driving of both chains overcomes the band-gap transmission threshold the large amplitude band-gap soliton emerges and amplification scenario is realized. The mechanism is interpreted as nonlinear superposition of evanescent and propagating nonlinear modes manifesting in a single or double soliton generation working in band-gap or band-pass regimes, respectively. The results could be straightforwardly generalized for all-optical or all-magnonic contexts and has all the promises for logic gate operations.